Calculate offset coordinate in a cartesian space-CodePudding

if I have 2 coordinate pointA(x,y) and pointB(x,y)

I need to calculate the offset coordinate at specific distance and angle 90 deg and 270 deg. How can I?

Can't find the right formula.

How to get the coordinate of C,D,E,F?

CodePudding user response：

Difference vector

dx = B.X - A.X
dy = B.Y - A.Y

Perpendicular vector

px = -dy
py = dx

Vector length (perhaps you have ready function Hypot or alike function in your math library)

len = sqrt(px*px py*py)

Normalized (unit length) vector

nx = px / len
ny = py / len

Now find points at distance dist:

C.X = A.X   nx * dist
C.Y = A.Y   nY * dist

G.X = A.X - nx * dist
G.Y = A.Y - nY * dist

similar for points around B